Conway polynomials of periodic links
type: Item
instance of: scholarly article
title: Conway polynomials of periodic links
zbMATH Open document ID: 0837.57004
author: Yasuyuki Miyazawa
published in: Osaka Journal of Mathematics
publication date: 1996-05-21T00:00:00Z
review text: The author proves a formula for the Conway potential of a periodic link in \(S^3 \). Here a periodic link is the lift \(\widetilde L\) of some link \(L\) in \(S^3\) to the \(p\)-fold branched cover branched over some unknot \(B\) disjoint from \(L\). The formula relates the Conway potential of \(\widetilde L\) with the potential of \(B \cup L\). Such a formula was previously known for the Alexander polynomial [\textit{M. Sakuma}, Math. Ann. 257, 487-494 (1981; Zbl 0458.57002)]. The author determines the normalizations from various relations between potentials and polynomials and discusses applications.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57M10
zbMATH DE Number: 639565
zbMATH Keywords: Conway potential
zbMATH Keywords: branched covering
zbMATH Keywords: periodic links
reviewed by: Uwe Kaiser
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 639565